101132313012 has 36 divisors (see below), whose sum is σ = 257117717220. Its totient is φ = 33515908992.

The previous prime is 101132313011. The next prime is 101132313043. The reversal of 101132313012 is 210313231101.

It can be written as a sum of positive squares in 2 ways, for example, as 41691922596 + 59440390416 = 204186^2 + 243804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132313011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8112937 + ... + 8125392.

Almost surely, 2^101132313012 is an apocalyptic number.

101132313012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101132313012 is an abundant number, since it is smaller than the sum of its proper divisors (155985404208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101132313012 is a wasteful number, since it uses less digits than its factorization.

101132313012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16238512 (or 16238507 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101132313012 its reverse (210313231101), we get a palindrome (311445544113).

The spelling of 101132313012 in words is "one hundred one billion, one hundred thirty-two million, three hundred thirteen thousand, twelve".